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Solution of Exterior Quasilinear Problems Using Elliptical Arc Artificial Boundary

Author

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  • Yajun Chen

    (School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
    Department of Mathematics, Shanghai Maritime University, Shanghai 200136, China)

  • Qikui Du

    (School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China)

Abstract

In this paper, the method of artificial boundary conditions for exterior quasilinear problems in concave angle domains is investigated. Based on the Kirchhoff transformation, the exact quasiliner elliptical arc artificial boundary condition is derived. Using the approximate elliptical arc artificial boundary condition, the finite element method is formulated in a bounded region. The error estimates are obtained. The effectiveness of our method is showed by some numerical experiments.

Suggested Citation

  • Yajun Chen & Qikui Du, 2021. "Solution of Exterior Quasilinear Problems Using Elliptical Arc Artificial Boundary," Mathematics, MDPI, vol. 9(14), pages 1-16, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1598-:d:589997
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    References listed on IDEAS

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    1. Wang, Xiuli & Zhai, Qilong & Wang, Ruishu & Jari, Rabeea, 2018. "An absolutely stable weak Galerkin finite element method for the Darcy–Stokes problem," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 20-32.
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